1019 past contests
Topic 31 · Riddle: $\pi$, the ratio of circumference to diameter
Topic 10 · Two white balls drawn without replacement from $6$ black and $4$ white balls
Topic 8 · Expressing $b$ in terms of $a$ when $\log_2a=\log_4b$
Topic 27 · Tangent to $y=2x^2-7x+9$ at $x=2$
Topic 40 · Range of $y=5\sin x+7$
Topic 22 · Expressing $\dfrac{x-13}{(x-3)(x+2)}$ as partial fractions
Topic 9 · Riddle: the number $2$, the only even prime
Topic 7 · Parity of sums and products of integers (true/false)
Topic 26 · Cube factorisations such as $x^3+27=(x-3)(x^2+3x-9)$ (true/false)
Topic 8 · Solving $\log_3(2x+5)=\log_3(x-2)+1$
Topic 11 · Pre-image of $(-3,2)$ under $(x,y)\mapsto(4x+y,\ 3x+y)$
Topic 26 · Remainder of $3x^3+5x^2-3x+4$ divided by $x+2$
Topic 28 · $x^2+\dfrac{1}{x^2}$ from $x+\dfrac{1}{x}=5$ or $x-\dfrac{1}{x}=-7$
Topic 11 · Image of $y=x^2$, $y=x+4$ and $y=x^3$ under a reflection in the point $a(2,3)$
Topic 9 · Riddle: $1357$ from digit-identity and arithmetic-sequence clues
Topic 37 · Angle between clock hands at a given hour (true/false)
Topic 26 · Factor theorem: $(x+2)$ is a factor of $x^3+4x^2+6x-2$ (true/false)
Topic 27 · $\lim_{x\to-4}\dfrac{x^2+2x-8}{x+4}$
Topic 38 · Evaluating $\cos[2\cos^{-1}(x)]$ for given $x$
Topic 14 · Inverse of $f(x)=\dfrac{2x+3}{x-5}$